id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejpam-590	Tomar, Nutan Kumar; Sukavanam, N; Singh, K P	Hybridization of Neural Nets and Genetic Algorithms to Compute the Boundary Control for Controlled Heat Equation	2011	12	.pdf	application/pdf	4163	301	77	The exact solution of the above problem is given in [2] as follows: The (optimal) control function is πexp(2π2ν t) sin(πx); for 0< x < 1; y = 0,1 and πexp(2π2ν t) sin(πy); for 0< y < 1; x = 0,1 and the temperature ω being defined by ω(x , y, t) = πexp(2π2ν t)(sin(πx)+ sin(πy)) The controlled semilinear heat equation, with boundary control, in Q is ∂ ω(x , t) ∂ t = c2∆ω(x , t) +	cache/ejpam-590.pdf	txt/ejpam-590.txt